Large-scale 3D galaxy correlation function and non-Gaussianity
Abstract
We investigate the properties of the 2-point galaxy correlation function at very large scales, including all geometric and local relativistic effects --- wide-angle effects, redshift space distortions, Doppler terms and Sachs-Wolfe type terms in the gravitational potentials. The general three-dimensional correlation function has a nonzero dipole and octupole, in addition to the even multipoles of the flat-sky limit. We study how corrections due to primordial non-Gaussianity and General Relativity affect the multipolar expansion, and we show that they are of similar magnitude (when f_(NL) is small), so that a relativistic approach is needed. Furthermore, we look at how large-scale corrections depend on the model for the growth rate in the context of modified gravity, and we discuss how a modified growth can affect the non-Gaussian signal in the multipoles.
Additional Information
© 2014 IOP Publishing Ltd and Sissa Medialab srl. Received March 5, 2014; Revised June 27, 2014; Accepted July 10, 2014; Published August 11, 2014. We thank Nicola Bartolo, Kazuya Koyama, Marc Manera, Sabino Matarrese, Will Percival, Ashley Ross, Lado Samushia and Gianmassimo Tasinato for helpful discussions. Part of the research described in this paper was carried out at the Jet Propulsion Laboratory, California Institute of Technology, under a contract with the National Aeronautics and Space Administration. The work of DB and RM was supported by the South African Square Kilometre Array Project and the South African National Research Foundation. RM was also supported by the U.K. Science & Technology Facilities Council (grant nos. ST/H002774/1 and ST/K0090X/1).Attached Files
Submitted - 1306.6646v3.pdf
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Additional details
- Eprint ID
- 50459
- DOI
- 10.1088/1475-7516/2014/08/022
- Resolver ID
- CaltechAUTHORS:20141016-152141089
- South African Square Kilometre Array Project
- National Research Foundation (South Africa)
- ST/H002774/1
- Science and Technology Facilities Council (STFC)
- ST/K0090X/1
- Science and Technology Facilities Council (STFC)
- NASA/JPL/Caltech
- Created
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2014-10-16Created from EPrint's datestamp field
- Updated
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2023-03-15Created from EPrint's last_modified field